Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model
Since November 2019, each country in the world has been affected by COVID-19, which has claimed more than four million lives. As an infectious disease, COVID-19 has a stronger transmission power and faster propagation speed. In fact, environmental noise is an inevitable important factor in the real...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/5/245 |
| _version_ | 1827668922377175040 |
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| author | Jianguo Sun Miaomiao Gao Daqing Jiang |
| author_facet | Jianguo Sun Miaomiao Gao Daqing Jiang |
| author_sort | Jianguo Sun |
| collection | DOAJ |
| description | Since November 2019, each country in the world has been affected by COVID-19, which has claimed more than four million lives. As an infectious disease, COVID-19 has a stronger transmission power and faster propagation speed. In fact, environmental noise is an inevitable important factor in the real world. This paper mainly gives a new random infectious disease system under infection rate environmental noise. We give the existence and uniqueness of the solution of the system and discuss the ergodic stationary distribution and the extinction conditions of the system. The probability density function of the stochastic system is studied. Some digital simulations are used to demonstrate the probability density function and the extinction of the system. |
| first_indexed | 2024-03-10T03:52:19Z |
| format | Article |
| id | doaj.art-8d109a8d93634028a00cf5255b33a574 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T03:52:19Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-8d109a8d93634028a00cf5255b33a5742023-11-23T11:03:26ZengMDPI AGFractal and Fractional2504-31102022-04-016524510.3390/fractalfract6050245Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic ModelJianguo Sun0Miaomiao Gao1Daqing Jiang2School of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSince November 2019, each country in the world has been affected by COVID-19, which has claimed more than four million lives. As an infectious disease, COVID-19 has a stronger transmission power and faster propagation speed. In fact, environmental noise is an inevitable important factor in the real world. This paper mainly gives a new random infectious disease system under infection rate environmental noise. We give the existence and uniqueness of the solution of the system and discuss the ergodic stationary distribution and the extinction conditions of the system. The probability density function of the stochastic system is studied. Some digital simulations are used to demonstrate the probability density function and the extinction of the system.https://www.mdpi.com/2504-3110/6/5/245stochastic epidemic modelthreshold dynamicsinfection rateextinctionergodic stationary distribution |
| spellingShingle | Jianguo Sun Miaomiao Gao Daqing Jiang Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model Fractal and Fractional stochastic epidemic model threshold dynamics infection rate extinction ergodic stationary distribution |
| title | Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model |
| title_full | Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model |
| title_fullStr | Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model |
| title_full_unstemmed | Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model |
| title_short | Threshold Dynamics and the Density Function of the Stochastic Coronavirus Epidemic Model |
| title_sort | threshold dynamics and the density function of the stochastic coronavirus epidemic model |
| topic | stochastic epidemic model threshold dynamics infection rate extinction ergodic stationary distribution |
| url | https://www.mdpi.com/2504-3110/6/5/245 |
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